Observation of the Sliding Mode in Incommensurate Intergrowth Compounds: Brillouin Scattering from the Inclusion Compound of Urea and Heptadecane

Schmicker, D.; Smaalen, Sander van; Boer, J. L. de; Haas, C.; Harris, Kenneth D. M.

doi:10.1103/physrevlett.74.734

Cited by 49 publications

(27 citation statements)

References 14 publications

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“…The results obtained are very helpful when discussing the possibility of existence of the so-called sliding mode in the incommensurate inclusion compounds. As follows from our experiment, the velocity of the γ S mode is lower than that of the transverse mode γ 9, which is in contradiction to the results obtained for the urea/C 17 H 36 system [11], however, it may indicate the possibility of existence of some collective excitations not only along the guest chains. The application of pressure of an order of a few ten bars was proved to lead to disappearance of the γ S mode.…”

Section: Discussioncontrasting

confidence: 84%

“…Discussion on a possibility of appearance of a sliding mode in the Brillouin spectra started in 1995 when Schmicker et al reported [11] the observation of such an excitation in CO(NH 2 )/C 17 H 36 clathrate. The authors [11] attributed the Brillouin mode of a frequency of about 15 GHz to the vibration of the guest sublattice.…”

Section: Excessive Phonon Excitations and The Concept Of The Sliding mentioning

confidence: 97%

“…The authors [11] attributed the Brillouin mode of a frequency of about 15 GHz to the vibration of the guest sublattice. This result was discussed by Ollivier et al [12].…”

Section: Excessive Phonon Excitations and The Concept Of The Sliding mentioning

confidence: 98%

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Elastic Properties and Excessive Phonon Excitations of Urea Inclusion Compounds

et al. 2006

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Section: Discussioncontrasting

confidence: 84%

Section: Excessive Phonon Excitations and The Concept Of The Sliding mentioning

confidence: 97%

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Elastic Properties and Excessive Phonon Excitations of Urea Inclusion Compounds

et al. 2006

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“…The expressions relating the phonon and phason speed of sound to the relative density and rigidity of the subsystems may be directly used for analysing existing available data for light scattering on these compounds (Schmicker et al 1995). These experiments seem to prove the existence of an unpinned phason mode having low damping.…”

Section: Discussionmentioning

confidence: 99%

Dynamics of lattice vibrations for one-dimensional commensurate and incommensurate composites with harmonic interaction

Radulescu¹,

Janssen²

1997

J. Phys. A: Math. Gen.

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Abstract. We introduce a model thr.t generalizes the Frenkel-Kontorova model and describes :i one-dimensional (ID ) composite system made of iwo subsystems which are treated on an equal footing. The gap structure o f the phonon energy spectrum and the character of lattice vibration are studied. We show that the phason mode may be pinned or not depending on the form o f the intersubsystem potential. For a weak intersubsystem interaction the structure of the phonon energy spectrum is universal and may be revealed by a gnomonic projection of l ) onto the plane. For a short-range harmonic interaction there are similarities between this model of composite and ID quasi crystals.

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“…In general terms, such materials can be subdivided into two types, depending on whether the ratio of the guest and host periodicities, α = c g /c h , is rational or irrational. In the case of rational α, the material is classified as commensurate, whereas in the case of irrational α, the material is classified as incommensurate [23][24][25][26]. For urea inclusion compounds, the relationship between c g and c h is usually incommensurate, although for certain types of guest molecule, the structure is observed to be commensurate [27][28][29].…”

Section: (A) Solid Inclusion Compoundsmentioning

confidence: 99%

A drifting Markov process on the circle, with physical applications

2013

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A discrete-time Markov process for directions in the plane is introduced. The random direction at any time is influenced both by the direction at the preceding time and by a target direction that depends on the current time. The deviations of the directions from their targets have a limiting distribution as time tends to infinity, and asymptotic approximations to the limiting probability density function are given both for the case of weak dependence and for the case of strong dependence. Tests of independence and of independence of increments are presented. Various types of behaviour of the process are illustrated by simulations. Some physical applications, notably concerning the commensurate versus incommensurate nature of solid materials, are discussed. The application of the process is illustrated also by the analysis of some data on semi-diurnal wind directions.

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Observation of the Sliding Mode in Incommensurate Intergrowth Compounds: Brillouin Scattering from the Inclusion Compound of Urea and Heptadecane

Cited by 49 publications

References 14 publications

Elastic Properties and Excessive Phonon Excitations of Urea Inclusion Compounds

Elastic Properties and Excessive Phonon Excitations of Urea Inclusion Compounds

Dynamics of lattice vibrations for one-dimensional commensurate and incommensurate composites with harmonic interaction

A drifting Markov process on the circle, with physical applications

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